Note: The expression is missing. Consider the expression is [tex]8a+16c[/tex].
Given:
The expression is
[tex]8a+16c[/tex]
To find:
Factor form of the given expression by using GCF.
Solution:
We have,
[tex]8a+16c[/tex]
Factors of each term:
[tex]8a=2\times 2\times 2\times a[/tex]
[tex]16c=2\times 2\times 2\times 2\times c[/tex]
The common factors are 2, 2 and 2. So,
[tex]GCF(8a+16c)=2\times 2\times 2[/tex]
[tex]GCF(8a+16c)=8[/tex]
Taking out the greater common factor (GCF) in the given expression, we get
[tex]8a+16c=8(a+2c)[/tex]
Therefore, the required expression is [tex]8(a+2c)[/tex] and the correct option is C.
